100133221111332 has 48 divisors (see below), whose sum is σ = 234312687248640. Its totient is φ = 33282340616448.

The previous prime is 100133221111331. The next prime is 100133221111333. The reversal of 100133221111332 is 233111122331001.

It is an interprime number because it is at equal distance from previous prime (100133221111331) and next prime (100133221111333).

It is not an unprimeable number, because it can be changed into a prime (100133221111331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633528 + ... + 14245520.

It is an arithmetic number, because the mean of its divisors is an integer number (4881514317680).

Almost surely, 2^{100133221111332} is an apocalyptic number.

100133221111332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133221111332 is an abundant number, since it is smaller than the sum of its proper divisors (134179466137308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100133221111332 is a wasteful number, since it uses less digits than its factorization.

100133221111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613892 (or 12613890 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 100133221111332 its reverse (233111122331001), we get a palindrome (333244343442333).

The spelling of 100133221111332 in words is "one hundred trillion, one hundred thirty-three billion, two hundred twenty-one million, one hundred eleven thousand, three hundred thirty-two".